Which conclusion of the following statement must always be true?

“If angle 1 and angle 2 are alternate interior angles of parallel lines cut by a transversal, then”

angle 1 and angle 2 are supplementary.

angle 1 and angle 2 are complementary.

angle 1 and angle 2 are a linear pair.

angle 1 is congruent to angle 2.

Given: △abc, ab=15, bd=9 ad ⊥ bc , m∠c=30°. find: the perimeter of the triangle.

Evaluate the expression for the given value of the variable 7a - 4a for a =8

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3